What are the chances of living in a world with no actual money ?

Low. I think personally that cryptocurrencies wont make FIAT useless, but I think that cryptocurrencies will work hand-in-hand with FIAT money. Especially in countries like the United States, and the other first-world countries; I don't see FIAT going anywhere soon.
Exactly as I thought. Fiats are needed especially to make a quick transaction or a transaction without involving gadgets or internet which might not be available or accessible hence using digital assets would be useless and would delay the transaction. Both digital cash or cryptocurrencies and fiats need to work together hand in hand to offer a much convenient way to provide more options to do a transaction.
I assume that bitcoin as well other digital currencies were becoming more popular just because of the increasing usage of bitcoin all over the world. For the growth in a sustained manner we need to make continued spreading in a better way. The same will lead for bigger adoption but this never leads to replacing of the real money to get replaced.
This is true,no matter how bitcoin would be successful or progress in the future.Local fiat would really strongly remain no matter what and replacing it would really be an impossible thing knowing that governments wont really allow such thing to happen.Local fiat currencies signifies on a countries power and independence and if all decided to replace it with bitcoin it would really be hard to think of on what would happen.For sure there would be chaos.
Without fiat currency we can't survive in this world, this is fix. Suppose all the govt accept Bitcoins also they will not ban fiat currency. If any country does this, then that country will lose income from people. Only those who are not collecting tax from people they can implement this in their country.